Operational approach to quantum stochastic thermodynamics.

  title={Operational approach to quantum stochastic thermodynamics.},
  author={Philipp Strasberg},
  journal={Physical review. E},
  volume={100 2-1},
  • P. Strasberg
  • Published 1 October 2018
  • Physics
  • Physical review. E
We set up a framework for quantum stochastic thermodynamics based solely on experimentally controllable but otherwise arbitrary interventions at discrete times. Using standard assumptions about the system-bath dynamics and insights from the repeated interaction framework, we define internal energy, heat, work, and entropy at the trajectory level. The validity of the first law (at the trajectory level) and the second law (on average) is established. The theory naturally allows one to treat… 

Figures from this paper

Quantum thermodynamics under continuous monitoring: a general framework

The thermodynamics of quantum systems driven out of equilibrium has attracted increasing attention in last the decade, in connection with quantum information and statistical physics, and with a focus

Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach

It is demonstrated that the first and second law hold for an even wider range of scenarios than previously thought, covering a large class of quantum causal models based solely on a single assumption about the initial system-bath state.

Quantum Stochastic Thermodynamics

Processes at the nanoscale happen far away from the thermodynamic limit, far from equilibrium and are dominated by fluctuations and, perhaps, even quantum effects. This book establishes a

Probabilistically violating the first law of thermodynamics in a quantum heat engine

Fluctuations of thermodynamic observables, such as heat and work, contain relevant information on the underlying physical process. These fluctuations are however not taken into account in the

Measurability of nonequilibrium thermodynamics in terms of the Hamiltonian of mean force.

This work makes use of the freedom involved in defining thermodynamic quantities, which leaves the thermodynamics unchanged, to show that the Hamiltonian of mean force can be inferred from measurements on the system alone, up to that irrelevant freedom.

Exponential Improvement for Quantum Cooling through Finite-Memory Effects

The step-wise optimal protocol, which requires implementing an adaptive strategy that outperforms all standard (non-adaptive) procedures, is described, which provides a generalization to arbitrary dimensions.

Quantum work statistics close to equilibrium

We study the statistics of work, dissipation, and entropy production of a quantum quasi-isothermal process, where the system remains close to the thermal equilibrium along the transformation. We

Repeated Interactions and Quantum Stochastic Thermodynamics at Strong Coupling.

The thermodynamic framework of repeated interactions is generalized to an arbitrary open quantum system in contact with a heat bath, which provides many quantum stochastic processes and quantum causal models with a consistent thermodynamic interpretation.

Work as an external quantum observable and an operational quantum work fluctuation theorem

We propose a definition of externally measurable quantum work in driven systems. Work is given as a quantum observable on a control device which is forcing the system and can be determined without



Work, heat and entropy production along quantum trajectories

Quantum open systems evolve according to completely positive, trace preserving maps acting on the density operator, which can equivalently be unraveled in term of so-called quantum trajectories.

Using a quantum work meter to test non-equilibrium fluctuation theorems

The authors design a scheme to directly sample from the work probability distribution, and use it to verify the validity of the quantum version of the Jarzynksi identity using cold atoms on an atomic chip.

Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions

We expand the standard thermodynamic framework of a system coupled to a thermal reservoir by considering a stream of independently prepared units repeatedly put into contact with the system. These

Fully quantum fluctuation theorems

Systems that are driven out of thermal equilibrium typically dissipate random quantities of energy on microscopic scales. Crooks fluctuation theorem relates the distribution of these random work

Coherence and measurement in quantum thermodynamics

Information processing tasks, the so-called projections, that can only be formulated within the framework of quantum mechanics are identified and it is shown that the physical realisation of such projections can come with a non-trivial thermodynamic work only for quantum states with coherences.

Full distribution of work done on a quantum system for arbitrary initial states.

It is shown that the quantum coherence of the initial state can lead to measurable effects on the moments of the work done on the system, and the known results are recovered if theinitial state is a statistical mixture of energy eigenstates.

Operational approach to open dynamics and quantifying initial correlations

  • K. Modi
  • Physics, Mathematics
    Scientific reports
  • 2012
This paper gives a prescription of quantum process tomography that yields the complete description of the dynamics of the system even when the initial correlations are present, and also gives quantitative expressions for the initial correlation.

The role of quantum measurement in stochastic thermodynamics

This article sets up a new formalism to investigate stochastic thermodynamics in the quantum regime, where stochasticity and irreversibility primarily come from quantum measurement. In the absence of

The thermodynamic cost of driving quantum systems by their boundaries

This work considers systems actively and locally coupled to the environment, evolving with a so-called boundary-driven Lindblad equation, and shows that an XX chain coupled to a left and a right heat baths behaves as a quantum engine, a heater or refrigerator depending on the parameters, with efficiencies bounded by Carnot efficiencies.

Stochastic thermodynamics of quantum maps with and without equilibrium.

We study stochastic thermodynamics for a quantum system of interest whose dynamics is described by a completely positive trace-preserving (CPTP) map as a result of its interaction with a thermal